X2700

SR(X98, X101)

X2700 = reflection of X2702 in X3
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2702, 3 }: Central Line L(2702, 3) { 107, 423 }: Central Line L(107, 423) { 98, 514 }: Central Line L(98, 514) { 101, 511 }: Central Line L(101, 511) { 99, 516 }: Central Line L(99, 516) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2702 = SR(X(98), X(103)) (1.0071, 0.0449) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_423 = -HIRST INVERSE OF X(27) (0.7431, 0.7380) X_98 = TARRY POINT (0.8891, -0.2281) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_99 = STEINER POINT (0.1109, 0.4322) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_2700 = SR(X(98), X(101)) (-0.0071, 0.1593) A B C X2702 X3 X107 X423 X98 X514 X101 X511 X99 X516 X2700 (a, b, c) = (5, 6, 7) | AB = 1

X2700 (SR(X98, X101)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as given just before X2677 using P = X98, U = X101
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(14.140193178850\)

X2700 lies on the circumcircle.

▸ Incident Central Lines11 lines

{3, 2702}, {58, 2715}, {98, 514}, {99, 516}, {100, 1959}, {101, 511}, {103, 512}, {107, 423}, {112, 1326}, {991, 2701}, {1350, 2705}

▸ Functional Relations3 relations